1 Answers

Option 4 : 560 m2

Let the base of triangle be A cm

⇒ Height of the triangle = 10/6 A

⇒ Area of triangle = 1/2 × A × 10/6 A = 5/6 A2

⇒ By the given condition,

⇒ Area of new triangle = Area of original triangle

⇒ 1/2 × (A – 4) × (10/6 A + 8) = 5/6 A2

⇒ (A – 4) × (10A + 48) = 5A2

⇒ 10A2 + 48A – 40A – 192 = 10A2

⇒ 8A = 192

⇒ A = 24

∴ Answer is Area = 1/2 × 24 × 40 = 480 m2

5 views

Related Questions